Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
4. 3a+6+5a A)16 B)8a C)8
5. 8b+8-4b A)20 B)28 C)12b
6. 5c-4c+c A)9c B)0 C)-6
Answer:
No clue what the answer is...
If a driver takes 6 hours to get to the town market which is 336 km away from his house, what is his average speed?
Answer:
[tex]56\ \text{km/h}[/tex]
Step-by-step explanation:
[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]
[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]
Average speed is given by
[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]
[tex]\Rightarrow s=\dfrac{336}{6}[/tex]
[tex]\Rightarrow s=56\ \text{km/h}[/tex]
The average speed of the driver is [tex]56\ \text{km/h}[/tex].
I can’t download anything so if anyone can find a way to help with this I’d be grateful (^_^)
image below thx god bless you :)
Answer:
C
Step-by-step explanation:
what ever way the < > is facing that is the way you "shaded" and if the < > has a line under it the # that has the circle the Circle will be colored in if the < > does not have a line under it then its a open circle
Answer:
The answer is C
Step-by-step explanation:
the reason why it is C is because this > symbol is facing towards the left.
Solve each equation b+3.3=8.9 what is b?
the answer will be 5.6 !
you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.
please mark brainliest if this was useful ♡
Find the sum.
5y+2/xy^2 + 2x-4/4xy
[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]
or just (xy+8y+4)/2xy^2 if u can't see the equation
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
Simplify the expression, then we have
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]
⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]
⇒ (20y + 8 + 2xy - 4y) / (4xy²)
⇒ (16y + 2xy + 8) / (4xy²)
⇒ (8y + xy + 4) / (2xy²)
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Please answer. I’ll make brainliest. I have other questions aswell. So if u answer those as well You will get get brainliest for this question and the other two I’m about to post
The triangle VXW should look like that in the attachment.
sine of W = opposite side/hypotenuse
=> sine of W = 77/85
Other formulae:
cos(θ) = adjacent side/hypotenusetan(θ) = opposite side/adjacent sideThe best description of a dilation of a figure is?
Answer:
an enlargement or a reduction of the figure
a slide of the figure
a turning of the figure about some fixed point
a mirror image of the figure
The best description of a dilation of a figure is a slide of the figure.
What is dilation?
A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.
Now,
The best description of a dilation of a figure is a slide of the figure.
Learn more about the dilation visit:
https://brainly.in/question/7119691
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what is the slope of this line?
Answer:
-1/200
Step-by-step explanation:
To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.
The figure shows the graphs of the functions y = f(x) and y = g(x) . The four indicat points all have integer coordinates. If g(x) = f(x) + k, what is the value of k?
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
2
Step-by-step explanation:
One leg of a right triangle is 3 cm and the hypotenuse is 5 cm. Joni found the length of the other leg by evaluating √32 + 52. What error did she make? How would you help her correct her error so she is less likely to make the same error in the future?
Answer: See explanation
Step-by-step explanation:
We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:
x² + 3² = 5²
x² + 9 = 25
x² = 25 - 9
x² = 16
x = ✓16
x = 4cm
The other leg is 4cm
Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.
PLEASE HELP!!! :(
Consider the following figure
What is BD?
Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
Is the number 0.1875 rational or irrational
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
I really need help!!!!
Answer:
No
Step-by-step explanation:
You can't use the perpendicular bisector theorem because it doesn't intersect it at a right angle, (meaning it isn't perpendicular)
solve
¾.(z to the 3rd power . 4)=
Answer:
In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.
4. Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
O y=-6x+4/5
O y= 4/5x-6
O y=4/5x+6
O y = 6x+4/5
Answer:
y=5x-6
Step-by-step explanation:
Use form y= mx + b where m is the slope and b is the y intercept
Find the value of x in the image above
Answer:
Step-by-step explanation:
Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003
Step-by-step explanation:
Mean x¯¯¯ 58003
Median x˜ 58003
Mode 58003
Range 3
Minimum 58002
Maximum 58005
Count n 7
Sum 406021
Quartiles Quartiles:
Q1 --> 58002
Q2 --> 58003
Q3 --> 58003
Interquartile
Range IQR 1
Outliers 58005
copy machine goes brr
100 PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet than the width. The total area of the field is 24 square inches. Write an equation to represent the area of the rectangle.
Answer:
24 ÷ x = 5
i hope this helps :)
Answer:
It is 24 ÷ x = 5
Step-by-step explanation:
find the area of the figure
Answer:
the area is 34 in to that round up
Step-by-step explanation:
14. Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?
A. log6 = log2 x log3 = 0.3010 x 0.4771
B. log6 = log2 + log3 = 0.3010 + 0.4771
C. log6 = log2 – log3 = 0.3010 – 0.4771
D. log6 = log2 = log3 = 0.3010 = 0.4771
Answer:
B. log6 = log2 + log3 = 0.3010 + 0.4771
Step-by-step explanation:
log 2 = 0.3010
log 3 = 0.4771
log 6 = ?
6 = 3 * 2
log 6 = log (3 * 2)
According to log rules;
log (a * b) = log(a) + log (b)
This means;
log 6 = log 3 + log 2
Inserting the values they represent;
log 6 = log 3 + log 2 = 0.4771 + 0.3010
Correct option:
B. log6 = log2 + log3 = 0.3010 + 0.4771
3-4/5X-2/3–3/15+3/5divided by -3/2
Answer:
-2(6x-13)/15
Step-by-step explanation:
This is done by simplifying the expression as well as combining like terms
What is the volume of the prism?
*Do NOT round your answer.
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
[tex]Volume=lwh[/tex]
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]
Answer:
the volume of the prism=length ×breadth ×height =10×5×6=300in³
Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles. Help and plz put the equation
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.
The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:
= 85 miles - 63 miles
= 22 miles
which represents the solution to the inequality -3x +5 > 14?
Answer:
x < -3
Step-by-step explanation:
Help what is the value
Answer:
I love you 3566267840 and pas 123456
Please help with this math problem
3x + 6 ≥ 24
Answer: 1X52=73
Step-by-step explanation:
Linear inequality systems graphically
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18